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Math Help - A new function for many integrations?

  1. #1
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    A new function for many integrations?

    Hi - I'm only in the seventh grade but I've been studying integration and I wondered whether someone could help me with a general question:

    In the same way that the multiplication function dramatically reduces the need for many addition functions, is there an area of mathematics where mathematicians are trying to devise a new function that will enable them to do many integrations in one 'function'?

    Thanks so much for your help!
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  2. #2
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    Krizalid's Avatar
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    I don't get the point very well...

    Would you like to show us some examples?
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  3. #3
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    Well, my question is kind of abstract. But what I'm getting at is like the idea that at some point in the history of math somebody decided to simplify the idea of doing 2+2+2+2+2+2+2+2+2+2 and instead wrote 2*10. And of course this makes possible to add together much larger numbers, like two million additions of 5 can just become 2*10^6 *5, rather than 5+5+5... and so on for 2m times.

    So I'm wondering if there are any areas of maths that are trying to develop a new function to simplify doing many integrations. So (in the future) you could use this one function to do many integrations in one go, just like now we use one multiplication to do many additions?

    Thanks for your help!
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